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ପରମାଣୁ ଶକ୍ତି ବିଭାଗ, ଭାରତ ସରକାରଙ୍କ ଏକ ସ୍ବୟଂଶାସିତ ପ୍ରତିଷ୍ଠାନ

राष्ट्रीय विज्ञान शिक्षा एवं अनुसंधान संस्थान
परमाणु ऊर्जा विभाग, भारत सरकार का एक स्वयंशासित संस्थान

National Institute of Science Education and Research
AN AUTONOMOUS INSTITUTE UNDER DAE, GOVT. OF INDIA
 

Dinesh Kumar Keshari

Reader - F
 
 

dineshniser.ac.in
+91-674-2494124

  • Ph.D., Indian Institute of Science (IISc), Bangalore, India, 2012.
  • M.Sc., Banaras Hindu University (BHU), Varanasi, India, 2006.
  • B.Sc., Banaras Hindu University (BHU), Varanasi, India, 2004.

Functional Analysis

  • Inspire faculty award by Department of Science and Technology (DST), 2014 (Session-II).
  • National Board for Higher Mathematics (NBHM) Post Doctoral Fellowship, 2014.
  • Indo-US The Virtual Institute for Mathematical and Statistical Sciences (VI- MSS) Research Fellowship during September 2013 to February 2014 .
  • Council of Scientific and Industrial Research (CSIR) Junior Research Fellowship, 2007.
  • National Board for Higher Mathematics (NBHM) Ph.D Scholarship, 2007.
  • Indian Statistical Institute Research Fellowship, 2007. 
  • Placed 84th (All India Rank) in Graduate Aptitude Test in Engineering (GATE) in Mathematics, 2007.
  • R. B. Munsi Shiva Prasad Medal for standing first in Mathematics at the B.A. and B.Sc (Hons.) pt.III, 2004.

  1. Infinitely divisible metrics and curvature inequalities for operators in the Cowen-Douglas class, (jointly with Shibananda Biswas and Gadadhar Misra), J. Lond. Math. Soc. (2) 88 (2013), no. 3, 941–956.
  2. Trace Formulae for Curvature of Jet Bundles over Planar Domains, Complex Analysis and Operator Theory, Volume 8, No. 2, 2014, 1723-1740.
  3. Flag structure for operators in the CowenDouglas class, (jointly with Kui Ji, Chunlan Jiang and Gadadhar Misra, Comptes Rendus Mathematique, Volume 352, Issue 6, June 2014, Pages 511–514.
  4. Generalized bundle shift with application to Multiplication operator on the Bergman space (Jointly with Ron Douglas, Anjian Xu), J. Operator Theory 75 (2016), no. 1, 3–19.
  5. Rigidity of the flag structure for operators in the Cowen-Douglas Class, (jointly with Kui Ji, Chunlan Jiang and Gadadhar Misra), J. Func. Anal., 272 (2017), no. 7, 2899–2932.
  6. Dilations, wandering subspaces, and inner functions, (jointly with Monojit Bhattacharjee, Jörg Eschmeier and Jaydeb Sarkar), Linear Algebra Appl. 523 (2017), 263–280.
  7. q-Commuting dilation, (jointly with Nirupama Mallick), Proc. Amer. Math. Soc. 147 (2019), no. 2, 655–669.
  8. Geometric Similarity invariants of Cowen-Douglas Operators (jointly with Kui Ji and Chunlan Jiang) accepted for publication in the JOURNAL OF NONCOMMUTATIVE GEOMETRY (2022).

Cowen-Douglas Class of operators, Hilbert modules over function algebra and Dilation theory.

  • M308- Complex Analysis (Even Semester-2017), NISER.
  • M451- Advanced Complex Analysis (Odd Semester- 2017), NISER.
  • M308- Complex Analysis (Even Semester-2018), NISER.
  • M306- Calculus of Several Variable (Odd Semester-2018), NISER.
  • M659- Topology and Complex Analysis (Ph.D., Odd Semester-2018), NISER ( Taught jointly with Panchugopal Bikram).
  • M310- Geometry of Curves and Surfaces (Even Semester-2019), NISER .
  • M306- Calculus of Several Variable (Odd Semester-2019), NISER.
  • M607- Complex Analysis (Ph.D., Even Semester-2020), NISER.
  • M466-Measure Theory (Odd Semester-2020), NISER.
  • M310- Geometry of Curves and Surfaces (Even Semester-2021), NISER
  • M607- Complex Analysis (Ph.D., Odd Semester-2021), NISER.
  • M603- Analysis I (Ph.D., Even Semester-2022), NISER.
  • M101 - Mathematics I (Odd Semester-2022), NISER.
  • M483- Introduction to Manifolds (Even Semester-2023), NISER.
  • MA 603- Analysis-I (Odd Semester-2023), NISER.

  1. Organizer: Stat-Math, Symposium by Doctoral and Post-doctoral Fellows, Indian Statistical Institute, Bangalore, August 06-07, 2015.
  2. Organizer (jointly with Soumen Dey):  Stat-Math, Symposium by Doctoral and Post-doctoral Fellows, Indian Statistical Institute, Bangalore, August 04-05, 2016.
  3. Member of phd interview committee, SMS NISER ( May 17-18, 2017)
  4. Member of phd interview committee, SMS NISER (December, 2017)
  5. Member of phd interview committee, SMS NISER (May 23-24, 2018)
  6. Member, UGCS, SMS NISER(24.09.2018- 31.12.2020)
  7. Member of phd interview committee, SMS NISER ( May 27-29, 2019)
  8.  PDF Convener, SMS NISER (August, 2019- September 2021)
  9. Member, PGCS, SMS NISER (01.01.2021- 31.10.2022)
  10. Member, UGCS, SMS NISER (01.11.2022-)
  11.  Member of Doctoral Committee for Amit Kumar
  12. Member of Doctoral Committee for  Atibur Rahaman 
  13.  Member of Doctoral Committee for Rajeeb Ranjan Mohanta
  14. Member of Doctoral Committee for Diptesh Kumar Saha
  15.  Member of Doctoral Committee for Suman Mukherjee
  16. Member of Doctoral Committee for Arindam Mandal
  17. Member of organising committee INTER IISER-NISER MATHEMATICS MEET (IINMM-2023).
  18. Member of Nest-2023.